Mathematical treatment of PDE model of chemotactic E. coli colonies
2021
Abstract We consider an initial-boundary value problem for reaction-diffusion equations coupled with the Keller-Segel system from the chemotaxis theory which describe a formation of colony patterns of bacteria Escherichia coli. The main goal of this work is to show that global-in-time solutions of this model converge towards stationary solutions depending on initial conditions.
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